# zbMATH — the first resource for mathematics

## The Journal of Fourier Analysis and Applications

 Short Title: J. Fourier Anal. Appl. Publisher: Springer (Birkhäuser), New York, NY ISSN: 1069-5869; 1531-5851/e Online: http://link.springer.com/journal/volumesAndIssues/41 Comments: Indexed cover-to-cover
 Documents Indexed: 1,353 Publications (since 1994) References Indexed: 1,045 Publications with 28,445 References.
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#### Latest Issues

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#### Authors

 14 Strichartz, Robert S. 11 Janssen, Augustus Josephus Elizabeth Maria 10 Casazza, Peter George 10 Christensen, Ole 9 Gröchenig, Karlheinz 9 Han, Deguang 9 Steidl, Gabriele 8 Yang, Dachun 7 Aldroubi, Akram 7 Benedetto, John J. 7 Carro, María Jesús 7 Cordero, Elena 7 Daubechies, Ingrid Chantal 7 Gabardo, Jean-Pierre 7 Heil, Christopher E. 7 Khrennikov, Andreĭ Yur’evich 7 Petrushev, Pencho P. 7 Sun, Qiyu 7 Zhou, Dingxuan 6 Boche, Holger 6 Dahlke, Stephan 6 Kenig, Carlos Eduardo 6 Labate, Demetrio 6 Nicola, Fabio 6 Nielsen, Morten 6 Okoudjou, Kasso A. 6 Pesenson, Isaac Zalmanovich 6 Pfander, Götz E. 6 Rauhut, Holger 6 Rockmore, Daniel N. 6 Wang, Yang 6 Weiss, Guido L. 5 Bodmann, Bernhard G. 5 Bownik, Marcin 5 Butzer, Paul Leo 5 Chui, Charles Kam-tai 5 Dai, Xingde 5 Duong, Xuan Thinh 5 Dziubański, Jacek 5 Grohs, Philipp 5 Jaffard, Stéphane 5 Jørgensen, Palle E. T. 5 Kim, Rae Young 5 Lakey, Joseph D. 5 Larson, David Royal 5 Lau, Kasing 5 Liflyand, Elijah 5 Papadakis, Manos 5 Plonka, Gerlind 5 Qian, Tao 5 Shen, Zuowei 5 Sjölin, Per 5 Skrzypczak, Leszek 5 Strohmer, Thomas 5 Sun, Wenchang 5 Teschke, Gerd 5 Tikhonov, Sergey Yur’evich 5 Unser, Michael A. 5 Weisz, Ferenc 4 Ayache, Antoine 4 Balan, Radu V. 4 Bényi, Árpád 4 Boumenir, Amin A. 4 Bruna Floris, Joaquim 4 Bui, Huy-Qui 4 Caetano, António M. 4 Cohen, Albert 4 Coifman, Ronald Raphaël 4 Colombo, Fabrizio 4 Colzani, Leonardo 4 Czaja, Wojciech 4 de la Torre, Alberto Clemente 4 De Vito, Ernesto 4 Gu, Qing 4 Guo, Kanghui 4 Han, Yongsheng 4 Hernandez, Eugenio 4 Hogan, Jeffrey A. 4 Jaming, Philippe 4 Karoui, Abderrazek 4 Kutyniok, Gitta 4 Lagarias, Jeffrey C. 4 Lee, Sanghyuk 4 Lerner, Andrei K. 4 Li, Shidong 4 Lorente, María 4 Maslen, David Keith 4 Mayeli, Azita 4 Mhaskar, Hrushikesh N. 4 Molter, Ursula Maria 4 Mönich, Ullrich Johann 4 Moran, William 4 Naibo, Virginia 4 Nowak, Adam 4 Packer, Judith A. 4 Palamodov, Victor Pavlovitch 4 Pilipović, Stevan 4 Powell, Alexander M. 4 Prestin, Jurgen 4 Rubin, Boris ...and 1,655 more Authors
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#### Fields

 948 Harmonic analysis on Euclidean spaces (42-XX) 260 Functional analysis (46-XX) 187 Partial differential equations (35-XX) 168 Operator theory (47-XX) 158 Information and communication theory, circuits (94-XX) 133 Numerical analysis (65-XX) 125 Approximations and expansions (41-XX) 125 Abstract harmonic analysis (43-XX) 91 Probability theory and stochastic processes (60-XX) 75 Measure and integration (28-XX) 56 Topological groups, Lie groups (22-XX) 56 Functions of a complex variable (30-XX) 54 Integral transforms, operational calculus (44-XX) 52 Real functions (26-XX) 51 Number theory (11-XX) 49 Special functions (33-XX) 37 Computer science (68-XX) 35 Quantum theory (81-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 31 Global analysis, analysis on manifolds (58-XX) 24 Combinatorics (05-XX) 22 Convex and discrete geometry (52-XX) 20 Group theory and generalizations (20-XX) 20 Potential theory (31-XX) 19 Several complex variables and analytic spaces (32-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Operations research, mathematical programming (90-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Differential geometry (53-XX) 14 Statistics (62-XX) 12 Ordinary differential equations (34-XX) 11 Sequences, series, summability (40-XX) 11 Biology and other natural sciences (92-XX) 10 Integral equations (45-XX) 9 Optics, electromagnetic theory (78-XX) 7 Difference and functional equations (39-XX) 7 Fluid mechanics (76-XX) 7 Systems theory; control (93-XX) 5 History and biography (01-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Mechanics of deformable solids (74-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX)

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1,074 Publications have been cited 11,581 times in 7,960 Documents Cited by Year
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A randomized Kaczmarz algorithm with exponential convergence. Zbl 1169.68052
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A new scheme for the tensor representation. Zbl 1188.15022
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Iterative thresholding for sparse approximations. Zbl 1175.94060
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Self-similar lattice tilings. Zbl 0978.28500
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Duality and biorthogonality for Weyl-Heisenberg frames. Zbl 0887.42028
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Localization of frames, Banach frames, and the invertibility of the frame operator. Zbl 1055.42018
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Integral self-affine tiles in $$\mathbb{R}^n$$. II: Lattice tilings. Zbl 0893.52015
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Affine systems in $$L_2(\mathbb{R}^d)$$. II: Dual systems. Zbl 0904.42025
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Perturbation of operators and applications to frame theory. Zbl 0895.47007
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Pseudoframes for subspaces with applications. Zbl 1058.42024
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Factoring wavelet transforms into lifting steps. Zbl 0913.42027
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History and evolution of the density theorem for Gabor frames. Zbl 1133.42043
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Wavelet sets in $$\mathbb{R}^ n$$. Zbl 0881.42023
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Gabor time-frequency lattices and the Wexler-Raz identity. Zbl 0888.47018
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Generalized multi-resolution analyses and a construction procedure for all wavelet sets in $$\mathbb{R}^n$$. Zbl 0972.42021
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A direct approach to the Mellin transform. Zbl 0885.44004
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Continuous frames, function spaces, and the discretization problem. Zbl 1093.42020
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Density, overcompleteness, and localization of frames. I: Theory. Zbl 1096.42014
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Differentiation and the Balian-Low theorem. Zbl 0887.42026
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Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces. Zbl 0964.42020
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$$p$$-frames and shift invariant subspaces of $$L^p$$. Zbl 0983.46027
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2001
New characterizations of Besov-Triebel-Lizorkin-Hausdorff spaces including coorbits and wavelets. Zbl 1260.46026
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2012
Painless reconstruction from magnitudes of frame coefficients. Zbl 1181.42032
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2009
Anisotropic analysis of some Gaussian models. Zbl 1034.60038
2003
Fractal differential equations on the Sierpiński gasket. Zbl 0937.31010
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1999
Vector potential theory on nonsmooth domains in $$\mathbb{R}^ 3$$ and applications to electromagnetic scattering. Zbl 0877.35124
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1997
Commutators of Riesz transforms related to Schrödinger operators. Zbl 1213.42075
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2011
Stability of multiscale transformations. Zbl 0919.46006
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1996
Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors. Zbl 1028.94020
Eldar, Yonina C.
2003
Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces. Zbl 1095.42022
Aldroubi, Akram; Sun, Qiyu; Tang, Wai-Shing
2005
Super-resolution from noisy data. Zbl 1312.94015
Candès, Emmanuel J.; Fernandez-Granda, Carlos
2013
Linear convergence of iterative soft-thresholding. Zbl 1175.65061
Bredies, Kristian; Lorenz, Dirk A.
2008
$$p$$-adic multiresolution analysis and wavelet frames. Zbl 1202.42059
Albeverio, S.; Evdokimov, S.; Skopina, M.
2010
Quantization of pseudo-differential operators on the torus. Zbl 1252.58013
Ruzhansky, Michael; Turunen, Ville
2010
The continuous shearlet transform in arbitrary space dimensions. Zbl 1194.42038
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
2010
Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. Zbl 0894.42006
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1997
Old and new Morrey spaces with heat kernel bounds. Zbl 1133.42017
Duong, Xuan Thinh; Xiao, Jie; Yan, Lixin
2007
Density, overcompleteness, and localization of frames. II: Gabor systems. Zbl 1097.42022
Balan, Radu; Casazza, Peter G.; Heil, Christopher; Landau, Zeph
2006
On the sampling theorem for wavelet subspaces. Zbl 0931.42022
Zhou, Xingwei; Sun, Wenchang
1999
Harmonic analysis in the $$p$$-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, $$p$$-adic wavelets, Tauberian theorems. Zbl 1110.46049
Albeverio, S.; Khrennikov, A. Yu.; Shelkovich, V. M.
2006
Regularity of refinable function vectors. Zbl 0914.42025
Cohen, Albert; Daubechies, Ingrid; Plonka, Gerlind
1997
Spectral pairs in Cartesian coordinates. Zbl 1050.42016
Jorgensen, Palle E. T.; Pedersen, Steen
1999
A characterization of functions that generate wavelet and related expansion. Zbl 0896.42022
Frazier, Michael; Garrigós, Gustavo; Wang, Kunchuan; Weiss, Guido
1997
Matrix refinement equations: existence and uniqueness. Zbl 0904.39017
Heil, Christopher; Colella, David
1996
Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets. Zbl 1088.60033
Ayache, Antoine; Xiao, Yimin
2005
Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion. Zbl 0948.60026
Meyer, Yves; Sellan, Fabrice; Taqqu, Murad S.
1999
On multivariate compactly supported bi-frames. Zbl 1141.42021
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2007
Heat kernel generated frames in the setting of Dirichlet spaces. Zbl 1270.58015
Coulhon, T.; Kerkyacharian, G.; Petrushev, P.
2012
Characterization of the Besov-Lipschitz and Triebel-Lizorkin spaces. The case $$q<1$$. Zbl 0897.42010
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1997
Frame decomposition of decomposition spaces. Zbl 1126.42008
Borup, Lasse; Nielsen, Morten
2007
The structure of translation-invariant spaces on locally compact abelian groups. Zbl 1328.42006
Bownik, Marcin; Ross, Kenneth A.
2015
Full spark frames. Zbl 1257.42040
Alexeev, Boris; Cahill, Jameson; Mixon, Dustin G.
2012
On Fuglede’s conjecture and the existence of universal spectra. Zbl 1106.42031
Farkas, Bálint; Matolcsi, Máté; Móra, Péter
2006
Smoothing minimally supported frequency wavelets. I. Zbl 0944.42021
Hernández, Eugenio; Wang, Xihua; Weiss, Guido
1996
The Clifford-Fourier transform. Zbl 1122.42015
Brackx, Fred; De Schepper, Nele; Sommen, Frank
2005
$$p$$-adic Haar multiresolution analysis and pseudo-differential operators. Zbl 1192.42024
2009
FFTs for the 2-sphere-improvements and variations. Zbl 1037.65136
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2003
The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations. Zbl 0972.46017
Mendez, Osvaldo; Mitrea, Marius
2000
Weighted Fourier inequalities: New proofs and generalizations. Zbl 1034.42010
Benedetto, John J.; Heinig, Hans P.
2003
A fast transform for spherical harmonics. Zbl 0935.65148
Mohlenkamp, Martin J.
1999
Subspace Weyl-Heisenberg frames. Zbl 0983.42022
Gabardo, Jean-Pierre; Han, Deguang
2001
Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062
Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace
2008
A quadrature formula for diffusion polynomials corresponding to a generalized heat kernel. Zbl 1204.41005
2010
Haar type orthonormal wavelet bases in $$R^2$$. Zbl 0908.42022
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1995
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
1995
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C.
2004
Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics. Zbl 0926.35043
Capogna, Luca; Garofalo, Nicola
1998
Sobolev type embeddings in the limiting case. Zbl 0930.46027
Cwikel, Michael; Pustylnik, Evgeniy
1998
Stability theorems for Fourier frames and wavelet Riesz bases. Zbl 0908.42025
1997
A partial derandomization of phaselift using spherical designs. Zbl 1332.90197
Gross, D.; Krahmer, F.; Kueng, R.
2015
Characterization of general tight wavelet frames with matrix dilations and tightness preserving oversampling. Zbl 1005.42020
Chui, Charles K.; Czaja, Wojciech; Maggioni, Mauro; Weiss, Guido
2002
A class of self-affine sets and self-affine measures. Zbl 1091.28005
Feng, De-Jun; Wang, Yang
2005
Spaces of variable smoothness and integrability: characterizations by local means and ball means of differences. Zbl 1270.46028
Kempka, Henning; Vybíral, Jan
2012
Basic properties of wavelets. Zbl 0934.42024
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1998
Smoothing minimally supported frequency wavelets. II. Zbl 0944.42022
Hernández, Eugenio; Wang, Xihua; Weiss, Guido
1997
Irregular sampling in wavelet subspaces. Zbl 0886.42025
Liu, Y. M.; Walter, G. G.
1995
Weighted norm inequalities for the local sharp maximal function. Zbl 1098.42013
Lerner, A. K.
2004
Self-similarity in harmonic analysis. Zbl 0851.42001
Strichartz, Robert S.
1994
Leibniz’s rule, sampling and wavelets on mixed Lebesgue spaces. Zbl 1436.42024
Torres, Rodolfo H.; Ward, Erika L.
2015
A generalized sampling theorem for stable reconstructions in arbitrary bases. Zbl 1259.94035
2012
Tight frames of multidimensional wavelets. Zbl 0884.42025
Bownik, Marcin
1997
Behavior near the boundary of positive solutions of second order parabolic equations. Zbl 0939.35082
Fabes, E. B.; Safonov, M. V.
1997
Wavelets based on prolate spheroidal wave functions. Zbl 1051.42029
Walter, Gilbert G.; Shen, Xiaoping
2004
Spectral computations on lamplighter groups and Diestel-Leader graphs. Zbl 1082.05058
Bartholdi, Laurent; Woess, Wolfgang
2005
Balls and quasi-metrics: A space of homogeneous type modeling the real analysis related to the Monge-Ampère equation. Zbl 0920.35049
Aimar, H.; Forzani, L.; Toledano, R.
1998
From continuous to discrete Weyl-Heisenberg frames through sampling. Zbl 0884.42022
Janssen, A. J. E. M.
1997
Pointwise Fourier inversion: A wave equation approach. Zbl 0901.42008
Pinsky, Mark A.; Taylor, Michael E.
1997
Uniqueness in the inverse conductivity problem for conductivities with $$3/2$$ derivatives in $$L^p$$, $$p>2n$$. Zbl 1051.35105
Brown, Russell M.; Torres, Rodolfo H.
2003
Shearlet coorbit spaces: Compactly supported analyzing shearlets, traces and embeddings. Zbl 1243.46023
Dahlke, Stephan; Steidl, Gabriele; Teschke, Gerd
2011
Geometric properties of fractional Brownian sheets. Zbl 1127.60032
Wu, Dongsheng; Xiao, Yimin
2007
A look at $$\text{BMO}_{\varphi}(\omega)$$ through Carleson measures. Zbl 1174.42019
Harboure, Eleonor; Salinas, Oscar; Viviani, Beatriz
2007
The Calderón reproducing formula, windowed $$X$$-ray transforms, and Radon transforms in $$L^p$$-spaces. Zbl 0933.42023
Rubin, Boris
1998
Stable optimizationless recovery from phaseless linear measurements. Zbl 1330.90069
Demanet, Laurent; Hand, Paul
2014
The mystery of Gabor frames. Zbl 1309.42045
Gröchenig, Karlheinz
2014
On generating tight Gabor frames at critical density. Zbl 1024.42018
Janssen, A. J. E. M.
2003
Continuous wavelets and frames on stratified Lie groups. I. Zbl 1105.42029
Geller, Daryl; Mayeli, Azita
2006
A support theorem for the geodesic ray transform on functions. Zbl 1186.53089
Krishnan, Venkateswaran P.
2009
Weighted Alpert wavelets. Zbl 07308327
Rahm, Rob; Sawyer, Eric T.; Wick, Brett D.
2021
Admissible measurements and robust algorithms for ptychography. Zbl 1459.94017
Preskitt, Brian; Saab, Rayan
2021
Gabor-type frames for signal processing on graphs. Zbl 1464.42025
Ghandehari, Mahya; Guillot, Dominique; Hollingsworth, Kris
2021
Superoscillations and analytic extension in Schur analysis. Zbl 1462.30050
Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
2021
Stochastic completeness of graphs: bounded Laplacians, intrinsic metrics, volume growth and curvature. Zbl 1462.05167
2021
On recovery guarantees for angular synchronization. Zbl 07334428
Filbir, Frank; Krahmer, Felix; Melnyk, Oleh
2021
Sequences of well-distributed vertices on graphs and spectral bounds on optimal transport. Zbl 1462.05192
Brown, Louis
2021
Graph signal sampling and interpolation based on clusters and averages. Zbl 1462.42057
Pesenson, Isaac Z.; Pesenson, Meyer Z.
2021
Natural graph wavelet packet dictionaries. Zbl 1462.65229
Cloninger, Alexander; Li, Haotian; Saito, Naoki
2021
Bilinear pseudo-differential operators with exotic class symbols of limited smoothness. Zbl 07382699
Kato, Tomoya
2021
XMO and weighted compact bilinear commutators. Zbl 07382705
Tao, Jin; Xue, Qingying; Yang, Dachun; Yuan, Wen
2021
Heisenberg modules as function spaces. Zbl 1442.42068
2020
Pointwise convergence along restricted directions for the fractional Schrödinger equation. Zbl 1446.35158
Shiraki, Shobu
2020
Transport inequalities on Euclidean spaces for non-Euclidean metrics. Zbl 1459.60046
Bobkov, Sergey G.; Ledoux, Michel
2020
Variable exponent Besov-Morrey spaces. Zbl 1445.46033
Almeida, Alexandre; Caetano, António
2020
On the limit as $$s\rightarrow 0^+$$ of fractional Orlicz-Sobolev spaces. Zbl 1467.46032
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Irregularity of distribution in Wasserstein distance. Zbl 1460.11105
Graham, Cole
2020
Parseval proximal neural networks. Zbl 07233296
Hasannasab, Marzieh; Hertrich, Johannes; Neumayer, Sebastian; Plonka, Gerlind; Setzer, Simon; Steidl, Gabriele
2020
Some weighted isoperimetric problems on $${\mathbb{R}}^N_+$$ with stable half balls have no solutions. Zbl 1432.51022
Brock, F.; Chiacchio, F.
2020
Phase-retrieval in shift-invariant spaces with Gaussian generator. Zbl 1439.94010
Gröchenig, Karlheinz
2020
Banach-valued modulation invariant Carleson embeddings and outer-$$L^p$$ spaces: the Walsh case. Zbl 1439.42013
2020
Wave propagation speed on fractals. Zbl 1439.35190
Ngai, Sze-Man; Tang, Wei; Xie, Yuanyuan
2020
Hardy spaces associated to critical functions and applications to $$T1$$ theorems. Zbl 1439.42032
Bui, The Anh; Duong, Xuan Thinh; Ky, Luong Dang
2020
Herz spaces meet Morrey type spaces and complementary Morrey type spaces. Zbl 1464.46035
Rafeiro, Humberto; Samko, Stefan
2020
Uncertainty principles for Fourier multipliers. Zbl 1459.42015
Northington, Michael V.
2020
Real interpolation of Hardy-type spaces and BMO-regularity. Zbl 1446.30080
Rutsky, Dmitry V.
2020
Fourier analysis of periodic Radon transforms. Zbl 1448.44005
Railo, Jesse
2020
A Gevrey differential complex on the torus. Zbl 1434.58008
da Silva, P. L. Dattori; Meziani, A.
2020
Nuclear embeddings of Besov spaces into Zygmund spaces. Zbl 1445.46035
Cobos, Fernando; Edmunds, David E.; Kühn, Thomas
2020
Sharp constants of approximation theory. I. Multivariate Bernstein-Nikolskii type inequalities. Zbl 1434.41005
Ganzburg, Michael I.
2020
On a characterization theorem for connected locally compact Abelian groups. Zbl 07160961
2020
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. Zbl 1459.42006
Iserles, Arieh; Webb, Marcus
2020
Concentration estimates for band-limited spherical harmonics expansions via the large sieve principle. Zbl 1442.42067
Speckbacher, M.; Hrycak, T.
2020
A uniqueness result for light ray transform on symmetric 2-tensor fields. Zbl 1466.53085
Krishnan, Venkateswaran P.; Senapati, Soumen; Vashisth, Manmohan
2020
Improving estimates for discrete polynomial averages. Zbl 1442.42024
Han, Rui; Kovač, Vjekoslav; Lacey, Michael T.; Madrid, José; Yang, Fan
2020
Some embeddings of Morrey spaces with critical smoothness. Zbl 1460.46023
Haroske, Dorothee D.; Moura, Susana D.; Skrzypczak, Leszek
2020
Sequence dominance in shift-invariant spaces. Zbl 1439.42042
Berić, Tomislav; Šikić, Hrvoje
2020
Weighted Fourier inequalities in Lebesgue and Lorentz spaces. Zbl 1439.42011
Nursultanov, Erlan; Tikhonov, Sergey
2020
Quantitative $$l^p$$-improving for discrete spherical averages along the primes. Zbl 1436.42026
Anderson, Theresa C.
2020
Bounds in Cohen’s idempotent theorem. Zbl 1455.43002
Sanders, Tom
2020
Rotationally invariant time-frequency scattering transforms. Zbl 1437.42047
Czaja, Wojciech; Li, Weilin
2020
A duality principle for groups. II: Multi-frames meet super-frames. Zbl 1455.42025
Balan, R.; Dutkay, D.; Han, D.; Larson, D.; Luef, F.
2020
A complete real-variable theory of Hardy spaces on spaces of homogeneous type. Zbl 1427.42026
He, Ziyi; Han, Yongsheng; Li, Ji; Liu, Liguang; Yang, Dachun; Yuan, Wen
2019
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators. Zbl 1432.46023
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, G.; Petrushev, P.
2019
Harmonic functions, conjugate harmonic functions and the Hardy space $$H^1$$ in the rational Dunkl setting. Zbl 1426.42017
Anker, Jean-Philippe; Dziubański, Jacek; Hejna, Agnieszka
2019
Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications. Zbl 1415.42012
Liu, Jun; Weisz, Ferenc; Yang, Dachun; Yuan, Wen
2019
Phaseless sampling and reconstruction of real-valued signals in shift-invariant spaces. Zbl 1417.94014
Cheng, Cheng; Jiang, Junzheng; Sun, Qiyu
2019
Schoenberg’s theorem for positive definite functions on products: a unifying framework. Zbl 1420.42005
Guella, J. C.; Menegatto, V. A.
2019
Support theorems and an injectivity result for integral moments of a symmetric $$m$$-tensor field. Zbl 07077712
Abhishek, Anuj; Mishra, Rohit Kumar
2019
$$L^p$$-boundedness and $$L^p$$-nuclearity of multilinear pseudo-differential operators on $$\mathbb{Z}^n$$ and the torus $$\mathbb{T}^n$$. Zbl 1429.58036
Cardona, Duván; Kumar, Vishvesh
2019
A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. Zbl 1431.65253
Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew
2019
Almost diagonalization of $$\tau$$-pseudodifferential operators with symbols in Wiener amalgam and modulation spaces. Zbl 07077729
Cordero, Elena; Nicola, Fabio; Trapasso, S. Ivan
2019
Mixed-state localization operators: Cohen’s class and trace class operators. Zbl 07077735
Luef, Franz; Skrettingland, Eirik
2019
Phase retrievable projective representation frames for finite abelian groups. Zbl 1440.42156
Li, Lan; Juste, Ted; Brennan, Joseph; Cheng, Chuangxun; Han, Deguang
2019
Superoscillating sequences towards approximation in $$\mathscr{S}$$ or $$\mathscr{S}^\prime$$-type spaces and extrapolation. Zbl 1421.42003
Colombo, F.; Struppa, D. C.; Yger, A.
2019
Sparse bounds for Bochner-Riesz multipliers. Zbl 1412.42036
Lacey, Michael T.; Mena, Dario; Reguera, Maria Carmen
2019
$$\mathcal{H}_p$$-theory of general Dirichlet series. Zbl 1429.43004
Defant, Andreas; Schoolmann, Ingo
2019
Multilinear multiplier theorems and applications. Zbl 1423.42018
Grafakos, Loukas; He, Danqing; Nguyen, Hanh Van; Yan, Lixin
2019
Global hypoellipticity for a class of pseudo-differential operators on the torus. Zbl 1418.35088
de Ávila Silva, Fernando; Gonzalez, Rafael Borro; Kirilov, Alexandre; de Medeira, Cleber
2019
Multilinear Marcinkiewicz-Zygmund inequalities. Zbl 07005621
Carando, Daniel; Mazzitelli, Martin; Ombrosi, Sheldy
2019
Vector-valued extensions of operators through multilinear limited range extrapolation. Zbl 1423.42037
Lorist, Emiel; Nieraeth, Bas
2019
A remark on the arcsine distribution and the Hilbert transform. Zbl 1446.44002
Coifman, Ronald R.; Steinerberger, Stefan
2019
Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets. Zbl 1435.46016
Bechtel, Sebastian; Egert, Moritz
2019
Uncertainty principle for real functions in free metaplectic transformation domains. Zbl 1428.42009
Zhang, Zhichao
2019
Weighted inequalities for Schrödinger type singular integrals. Zbl 1416.42012
Bongioanni, B.; Harboure, E.; Quijano, P.
2019
A short proof of commutator estimates. Zbl 1415.42016
D&rsquo;Ancona, Piero
2019
NLS in the modulation space $$M_{2,q}({\mathbb {R}})$$. Zbl 1420.35372
Pattakos, N.
2019
Computation of adaptive Fourier series by sparse approximation of exponential sums. Zbl 1420.42002
2019
Endpoint results for the Riesz transform of the Ornstein-Uhlenbeck operator. Zbl 1417.42014
Bruno, Tommaso
2019
Two theorems on convergence of Schrödinger means. Zbl 1417.42026
Sjölin, Per
2019
Extension and restriction principles for the HRT conjecture. Zbl 1417.42036
Okoudjou, Kasso A.
2019
Distribution frames and bases. Zbl 07077736
Trapani, Camillo; Triolo, Salvatore; Tschinke, Francesco
2019
Kernel theorems for modulation spaces. Zbl 1410.42023
Cordero, Elena; Nicola, Fabio
2019
Large Fourier quasicrystals and Wiener’s theorem. Zbl 1414.52014
Favorov, S. Yu.
2019
Mean ergodic theorems for multipliers on Banach algebras. Zbl 1429.46034
Mustafayev, Heybetkulu
2019
Bounds for anisotropic Carleson operators. Zbl 1423.42032
Roos, Joris
2019
$$p$$-adic analogue of the wave equation. Zbl 07116076
Wu, Bo; Khrennikov, Andrei
2019
Gabor frames for model sets. Zbl 1428.42013
Matusiak, Ewa
2019
An endpoint weak-type estimate for multilinear Calderón-Zygmund operators. Zbl 1433.42014
Stockdale, Cody B.; Wick, Brett D.
2019
The Boas problem on Hankel transforms. Zbl 1428.42007
Debernardi, A.
2019
Inverse boundary value problem of determining up to a second order tensor appear in the lower order perturbation of a polyharmonic operator. Zbl 1414.35261
Bhattacharyya, Sombuddha; Ghosh, Tuhin
2019
Phase unwinding, or invariant subspace decompositions of Hardy spaces. Zbl 1432.30037
Coifman, Ronald R.; Peyrière, Jacques
2019
Mean value property of harmonic functions on the tetrahedral Sierpinski gasket. Zbl 1414.28020
Qiu, Hua; Wu, Yipeng; Yao, Kui
2019
Translation-modulation invariant Banach spaces of ultradistributions. Zbl 1426.46026
Dimovski, Pavel; Pilipović, Stevan; Prangoski, Bojan; Vindas, Jasson
2019
Variants of the inequalities of Paley and Zygmund. Zbl 1420.43004
Bakas, Odysseas
2019
The multilinear Littlewood-Paley operators with minimal regularity conditions. Zbl 1440.42075
Cao, Mingming; Yabuta, Kôzô
2019
Letter to the editor: proof of the HRT conjecture for almost every $$(1,3)$$ configuration. Zbl 1417.42001
Liu, Wencai
2019
Global symmetric approximation of frames. Zbl 1421.42018
Chiumiento, Eduardo
2019
An improved remainder estimate in the Weyl formula for the planar disk. Zbl 1416.35172
Guo, Jingwei; Wang, Weiwei; Wang, Zuoqin
2019
A Balian-Low theorem for subspaces. Zbl 1417.42032
Caragea, Andrei; Lee, Dae Gwan; Pfander, Götz E.; Philipp, Friedrich
2019
On Assouad dimension and arithmetic progressions in sets defined by digit restrictions. Zbl 1414.28017
Li, Jinjun; Wu, Min; Xiong, Ying
2019
Hardy’s inequality for Laguerre expansions of Hermite type. Zbl 1417.42030
Plewa, Paweł
2019
Oscillatory singular integral operators with Hölder class kernels. Zbl 1417.42012
Al-Qassem, Hussain; Cheng, Leslie; Pan, Yibiao
2019
Painless breakups – efficient demixing of low rank matrices. Zbl 1428.15017
Strohmer, Thomas; Wei, Ke
2019
Geometric separation in $$\mathbb{R}^3$$. Zbl 1440.42153
Guo, Kanghui; Labate, Demetrio
2019
Lipschitz linearization of the maximal hyperbolic cross multiplier. Zbl 1414.42011
Saari, Olli; Thiele, Christoph
2019
On Lebesgue integrability of Fourier transforms in amalgam spaces. Zbl 1417.42010
Coulibaly, Sekou; Fofana, Ibrahim
2019
A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions. Zbl 1406.81051
Dias, Nuno Costa; de Gosson, Maurice A.; Prata, João Nuno
2019
Vector-valued local approximation spaces. Zbl 1426.46019
Hytönen, Tuomas; Merikoski, Jori
2019
A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution. Zbl 1430.42013
Zayed, Ahmed
2019
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#### Cited by 7,433 Authors

 97 Yang, Dachun 61 Han, Deguang 59 Gröchenig, Karlheinz 53 Sun, Wenchang 45 Jørgensen, Palle E. T. 44 Li, Yunzhang 43 Christensen, Ole 43 Sun, Qiyu 41 Yuan, Wen 38 Dutkay, Dorin Ervin 36 Qian, Tao 35 Strichartz, Robert S. 34 Sawano, Yoshihiro 32 Xiao, Yimin 31 Bownik, Marcin 28 García, Antonio G. 28 Khrennikov, Andreĭ Yur’evich 28 Kutyniok, Gitta 28 Li, Song 27 Cordero, Elena 27 Mitrea, Marius 26 Bardaro, Carlo 26 Mantellini, Ilaria 26 Mhaskar, Hrushikesh N. 25 Aldroubi, Akram 25 Dahlke, Stephan 25 Mixon, Dustin G. 25 Nielsen, Morten 25 Ruzhansky, Michael V. 24 Butzer, Paul Leo 24 Casazza, Peter George 24 Gabardo, Jean-Pierre 24 Labate, Demetrio 24 Shen, Zuowei 23 Benedetto, John J. 23 Führ, Hartmut 23 Jaming, Philippe 23 Nicola, Fabio 23 Skopina, Maria A. 22 Han, Bin 22 Pesenson, Isaac Zalmanovich 22 Petrushev, Pencho P. 22 The Anh Bui 22 Vinti, Gianluca 21 Cabrelli, Carlos A. 21 Duong, Xuan Thinh 21 Liflyand, Elijah 21 Needell, Deanna 21 Pilipović, Stevan 21 Tikhonov, Sergey Yur’evich 21 Uhlmann, Gunther Alberto 21 Weisz, Ferenc 20 Betancor Perez, Jorge Juan 20 Feichtinger, Hans Georg 20 Mejjaoli, Hatem 20 Nowak, Adam 20 Pfander, Götz E. 20 Romero, José Luis 20 Shah, Firdous Ahmad 20 Toft, Joachim 19 Balazs, Peter 19 De Vito, Ernesto 19 Fickus, Matthew C. 19 Kim, Hong Oh 19 Powell, Alexander M. 19 Skrzypczak, Leszek 19 Zhou, Xingwei 18 Ayache, Antoine 18 Haroske, Dorothee D. 18 Heil, Christopher E. 18 Hernandez, Eugenio 18 Hu, Guoen 18 Larson, David Royal 18 Lau, Kasing 18 Mayeli, Azita 18 Pérez-Villalón, Gerardo 18 Potts, Daniel 18 Rauhut, Holger 18 Sickel, Winfried 17 Adcock, Ben 17 Ehler, Martin 17 Grohs, Philipp 17 He, Xinggang 17 Kim, Rae Young 17 Krahmer, Felix 17 Krishtal, Ilya Arkadievich 17 Li, Youfa 17 Nyström, Kaj 17 Prestin, Jurgen 17 Shahgholian, Henrik 16 Barral, Julien 16 Chui, Charles Kam-tai 16 Georgiadis, Athanasios G. 16 Lai, Chun-Kit 16 Luef, Franz 16 Molter, Ursula Maria 16 Vindas, Jasson 16 Wang, Yang 16 Yang, Sibei 16 Zhuo, Ciqiang ...and 7,333 more Authors
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#### Cited in 632 Journals

 500 The Journal of Fourier Analysis and Applications 445 Applied and Computational Harmonic Analysis 371 Journal of Mathematical Analysis and Applications 228 Journal of Functional Analysis 155 Journal of Approximation Theory 155 Transactions of the American Mathematical Society 154 Proceedings of the American Mathematical Society 147 International Journal of Wavelets, Multiresolution and Information Processing 124 The Journal of Geometric Analysis 95 Advances in Computational Mathematics 88 Linear Algebra and its Applications 81 Acta Mathematica Sinica. English Series 81 Journal of Pseudo-Differential Operators and Applications 80 Advances in Mathematics 76 Numerical Functional Analysis and Optimization 71 Journal of Computational and Applied Mathematics 68 Integral Transforms and Special Functions 67 Mathematische Nachrichten 65 Journal of Mathematical Physics 64 Inverse Problems 62 Journal of Differential Equations 60 Constructive Approximation 59 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Journal of Computational Physics 54 Monatshefte für Mathematik 54 Complex Analysis and Operator Theory 54 Science China. Mathematics 52 Results in Mathematics 49 Applicable Analysis 47 Mathematische Zeitschrift 47 Acta Applicandae Mathematicae 45 Mathematische Annalen 45 SIAM Journal on Scientific Computing 44 Applied Mathematics and Computation 44 Journal of Scientific Computing 44 Journal of Function Spaces 43 Journal d’Analyse Mathématique 43 Mathematics of Computation 42 Stochastic Processes and their Applications 42 Potential Analysis 42 Mediterranean Journal of Mathematics 42 Banach Journal of Mathematical Analysis 40 Integral Equations and Operator Theory 40 Comptes Rendus. Mathématique. Académie des Sciences, Paris 39 SIAM Journal on Mathematical Analysis 37 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Mathematical Methods in the Applied Sciences 36 Journal of Inequalities and Applications 35 SIAM Journal on Imaging Sciences 31 Revista Matemática Iberoamericana 31 Communications in Partial Differential Equations 31 Analysis and Mathematical Physics 30 Numerische Mathematik 30 Foundations of Computational Mathematics 29 Inverse Problems and Imaging 28 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Mathematical Notes 27 Advances in Applied Clifford Algebras 27 Abstract and Applied Analysis 27 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 26 Computational Optimization and Applications 25 Studia Mathematica 25 Calculus of Variations and Partial Differential Equations 25 Journal of Mathematical Sciences (New York) 25 Mathematical Problems in Engineering 25 Analysis and Applications (Singapore) 25 Complex Variables and Elliptic Equations 23 Collectanea Mathematica 23 Mathematical Programming. Series A. Series B 23 SIAM Journal on Optimization 22 Communications in Mathematical Physics 22 Israel Journal of Mathematics 22 Journal of Complexity 22 Numerical Algorithms 22 Revista Matemática Complutense 21 Journal of Theoretical Probability 21 Applied Mathematics Letters 21 SIAM Journal on Matrix Analysis and Applications 21 Forum Mathematicum 21 Journal of Mathematical Imaging and Vision 21 Bulletin des Sciences Mathématiques 20 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 20 Fractals 20 Journal of Function Spaces and Applications 19 Computers & Mathematics with Applications 19 Acta Mathematica Hungarica 19 Applied Mathematics. Series B (English Edition) 19 Bernoulli 19 Analysis in Theory and Applications 19 Proceedings of the Steklov Institute of Mathematics 18 Bulletin of the Australian Mathematical Society 18 Rocky Mountain Journal of Mathematics 18 Automatica 18 Zeitschrift für Analysis und ihre Anwendungen 18 Communications on Pure and Applied Analysis 17 Archive for Rational Mechanics and Analysis 17 Circuits, Systems, and Signal Processing 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Applied Numerical Mathematics 17 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences ...and 532 more Journals
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#### Cited in 61 Fields

 3,908 Harmonic analysis on Euclidean spaces (42-XX) 1,434 Functional analysis (46-XX) 1,281 Partial differential equations (35-XX) 1,163 Numerical analysis (65-XX) 988 Information and communication theory, circuits (94-XX) 931 Operator theory (47-XX) 591 Approximations and expansions (41-XX) 577 Probability theory and stochastic processes (60-XX) 500 Abstract harmonic analysis (43-XX) 422 Measure and integration (28-XX) 327 Operations research, mathematical programming (90-XX) 308 Functions of a complex variable (30-XX) 299 Linear and multilinear algebra; matrix theory (15-XX) 290 Integral transforms, operational calculus (44-XX) 285 Real functions (26-XX) 254 Statistics (62-XX) 245 Computer science (68-XX) 224 Topological groups, Lie groups (22-XX) 208 Number theory (11-XX) 195 Quantum theory (81-XX) 193 Special functions (33-XX) 183 Calculus of variations and optimal control; optimization (49-XX) 174 Global analysis, analysis on manifolds (58-XX) 157 Dynamical systems and ergodic theory (37-XX) 135 Systems theory; control (93-XX) 133 Combinatorics (05-XX) 132 Potential theory (31-XX) 111 Convex and discrete geometry (52-XX) 101 Differential geometry (53-XX) 95 Biology and other natural sciences (92-XX) 86 Fluid mechanics (76-XX) 83 Group theory and generalizations (20-XX) 83 Integral equations (45-XX) 81 Ordinary differential equations (34-XX) 79 Several complex variables and analytic spaces (32-XX) 73 Optics, electromagnetic theory (78-XX) 73 Statistical mechanics, structure of matter (82-XX) 49 Mechanics of deformable solids (74-XX) 48 Difference and functional equations (39-XX) 35 Sequences, series, summability (40-XX) 32 Geophysics (86-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Algebraic geometry (14-XX) 21 General topology (54-XX) 16 Geometry (51-XX) 15 Manifolds and cell complexes (57-XX) 14 Mechanics of particles and systems (70-XX) 13 Field theory and polynomials (12-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 History and biography (01-XX) 10 Relativity and gravitational theory (83-XX) 9 General and overarching topics; collections (00-XX) 9 Nonassociative rings and algebras (17-XX) 9 Algebraic topology (55-XX) 9 Astronomy and astrophysics (85-XX) 8 Mathematical logic and foundations (03-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Commutative algebra (13-XX) 6 $$K$$-theory (19-XX) 4 Associative rings and algebras (16-XX) 4 Mathematics education (97-XX)